{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "ea84ee08",
   "metadata": {},
   "source": [
    "## 绘图\n",
    "\n",
    "标题\n",
    "\n",
    "两个轴， 度量衡\n",
    "\n",
    "点，线 画进图中\n",
    "\n",
    "展示图"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6bfb7959",
   "metadata": {},
   "source": [
    "学习参考： https://www.runoob.com/w3cnote/matplotlib-tutorial.html"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b6fc3c9a",
   "metadata": {},
   "source": [
    "# Matploylib学习\n",
    "\n",
    "## 导包"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "c1565609",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a6a9e7ff",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title(\"test1\")\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(\"y\")\n",
    "\n",
    "x = np.arange(2, 11)\n",
    "y = 2 * x + 5\n",
    "\n",
    "plt.plot(x, y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "18e43dd1",
   "metadata": {},
   "source": [
    "## Test\n",
    "\n",
    "绘制一下以时间t为横坐标，速度v为纵坐标，变化方程 为 v = -2t^2 + 3t + 3, t 在 [0, 10]时刻的图像，标题为\"v-t图像\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "50aecb93",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title(\"v-t图像\") # 没有中文\n",
    "plt.xlabel(\"t\")\n",
    "plt.ylabel(\"v\")\n",
    "\n",
    "x = np.arange(0, 11)\n",
    "y = -2*x**2 + 3 * x + 3\n",
    "\n",
    "plt.plot(x, y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "64a38ebb",
   "metadata": {},
   "source": [
    "## 解决中文字符问题"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "5c2ea4a9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adobe Devanagari\n",
      "Adobe Devanagari\n",
      "Adobe Devanagari\n",
      "Adobe Devanagari\n",
      "Agency FB\n",
      "Agency FB\n",
      "Algerian\n",
      "Arial\n",
      "Arial\n",
      "Arial\n",
      "Arial\n",
      "Arial\n",
      "Arial\n",
      "Arial\n",
      "Arial\n",
      "Arial\n",
      "Arial Rounded MT Bold\n",
      "BIZ UDGothic\n",
      "BIZ UDGothic\n",
      "BIZ UDMincho\n",
      "Bahnschrift\n",
      "Baskerville Old Face\n",
      "Bauhaus 93\n",
      "Bell MT\n",
      "Bell MT\n",
      "Bell MT\n",
      "Berlin Sans FB\n",
      "Berlin Sans FB\n",
      "Berlin Sans FB Demi\n",
      "Bernard MT Condensed\n",
      "Blackadder ITC\n",
      "Bodoni MT\n",
      "Bodoni MT\n",
      "Bodoni MT\n",
      "Bodoni MT\n",
      "Bodoni MT\n",
      "Bodoni MT\n",
      "Bodoni MT\n",
      "Bodoni MT\n",
      "Bodoni MT\n",
      "Bodoni MT\n",
      "Bodoni MT\n",
      "Book Antiqua\n",
      "Book Antiqua\n",
      "Book Antiqua\n",
      "Book Antiqua\n",
      "Bookman Old Style\n",
      "Bookman Old Style\n",
      "Bookman Old Style\n",
      "Bookman Old Style\n",
      "Bookshelf Symbol 7\n",
      "Bradley Hand ITC\n",
      "Britannic Bold\n",
      "Broadway\n",
      "Brush Script MT\n",
      "Calibri\n",
      "Calibri\n",
      "Calibri\n",
      "Calibri\n",
      "Calibri\n",
      "Calibri\n",
      "Californian FB\n",
      "Californian FB\n",
      "Californian FB\n",
      "Calisto MT\n",
      "Calisto MT\n",
      "Calisto MT\n",
      "Calisto MT\n",
      "Cambria\n",
      "Cambria\n",
      "Cambria\n",
      "Cambria\n",
      "Candara\n",
      "Candara\n",
      "Candara\n",
      "Candara\n",
      "Candara\n",
      "Candara\n",
      "Castellar\n",
      "Centaur\n",
      "Century\n",
      "Century Gothic\n",
      "Century Gothic\n",
      "Century Gothic\n",
      "Century Gothic\n",
      "Century Schoolbook\n",
      "Century Schoolbook\n",
      "Century Schoolbook\n",
      "Century Schoolbook\n",
      "Chiller\n",
      "Colonna MT\n",
      "Comic Sans MS\n",
      "Comic Sans MS\n",
      "Comic Sans MS\n",
      "Comic Sans MS\n",
      "Consolas\n",
      "Consolas\n",
      "Consolas\n",
      "Consolas\n",
      "Constantia\n",
      "Constantia\n",
      "Constantia\n",
      "Constantia\n",
      "Cooper Black\n",
      "Copperplate Gothic Bold\n",
      "Copperplate Gothic Light\n",
      "Corbel\n",
      "Corbel\n",
      "Corbel\n",
      "Corbel\n",
      "Corbel\n",
      "Corbel\n",
      "Courier New\n",
      "Courier New\n",
      "Courier New\n",
      "Courier New\n",
      "Curlz MT\n",
      "DejaVu Sans\n",
      "DejaVu Sans\n",
      "DejaVu Sans\n",
      "DejaVu Sans\n",
      "DejaVu Sans Display\n",
      "DejaVu Sans Mono\n",
      "DejaVu Sans Mono\n",
      "DejaVu Sans Mono\n",
      "DejaVu Sans Mono\n",
      "DejaVu Serif\n",
      "DejaVu Serif\n",
      "DejaVu Serif\n",
      "DejaVu Serif\n",
      "DejaVu Serif Display\n",
      "DengXian\n",
      "DengXian\n",
      "DengXian\n",
      "Dubai\n",
      "Dubai\n",
      "Dubai\n",
      "Dubai\n",
      "Ebrima\n",
      "Ebrima\n",
      "Edwardian Script ITC\n",
      "Elephant\n",
      "Elephant\n",
      "Engravers MT\n",
      "Eras Bold ITC\n",
      "Eras Demi ITC\n",
      "Eras Light ITC\n",
      "Eras Medium ITC\n",
      "FZShuTi\n",
      "FZYaoTi\n",
      "FangSong\n",
      "Felix Titling\n",
      "Footlight MT Light\n",
      "Forte\n",
      "Franklin Gothic Book\n",
      "Franklin Gothic Book\n",
      "Franklin Gothic Demi\n",
      "Franklin Gothic Demi\n",
      "Franklin Gothic Demi Cond\n",
      "Franklin Gothic Heavy\n",
      "Franklin Gothic Heavy\n",
      "Franklin Gothic Medium\n",
      "Franklin Gothic Medium\n",
      "Franklin Gothic Medium Cond\n",
      "Freestyle Script\n",
      "French Script MT\n",
      "Gabriola\n",
      "Gadugi\n",
      "Gadugi\n",
      "Garamond\n",
      "Garamond\n",
      "Garamond\n",
      "Georgia\n",
      "Georgia\n",
      "Georgia\n",
      "Georgia\n",
      "Gigi\n",
      "Gill Sans MT\n",
      "Gill Sans MT\n",
      "Gill Sans MT\n",
      "Gill Sans MT\n",
      "Gill Sans MT Condensed\n",
      "Gill Sans MT Ext Condensed Bold\n",
      "Gill Sans Ultra Bold\n",
      "Gill Sans Ultra Bold Condensed\n",
      "Gloucester MT Extra Condensed\n",
      "Goudy Old Style\n",
      "Goudy Old Style\n",
      "Goudy Old Style\n",
      "Goudy Stout\n",
      "Haettenschweiler\n",
      "Harlow Solid Italic\n",
      "Harrington\n",
      "High Tower Text\n",
      "High Tower Text\n",
      "HoloLens MDL2 Assets\n",
      "Impact\n",
      "Imprint MT Shadow\n",
      "Informal Roman\n",
      "Ink Free\n",
      "Javanese Text\n",
      "Jokerman\n",
      "Juice ITC\n",
      "KaiTi\n",
      "Kristen ITC\n",
      "Kunstler Script\n",
      "Leelawadee\n",
      "Leelawadee\n",
      "Leelawadee UI\n",
      "Leelawadee UI\n",
      "Leelawadee UI\n",
      "LiSu\n",
      "Lucida Bright\n",
      "Lucida Bright\n",
      "Lucida Bright\n",
      "Lucida Bright\n",
      "Lucida Calligraphy\n",
      "Lucida Console\n",
      "Lucida Fax\n",
      "Lucida Fax\n",
      "Lucida Fax\n",
      "Lucida Fax\n",
      "Lucida Handwriting\n",
      "Lucida Sans\n",
      "Lucida Sans\n",
      "Lucida Sans\n",
      "Lucida Sans\n",
      "Lucida Sans Typewriter\n",
      "Lucida Sans Typewriter\n",
      "Lucida Sans Typewriter\n",
      "Lucida Sans Typewriter\n",
      "Lucida Sans Unicode\n",
      "MS Gothic\n",
      "MS Mincho\n",
      "MS Outlook\n",
      "MS Reference Sans Serif\n",
      "MS Reference Specialty\n",
      "MT Extra\n",
      "MV Boli\n",
      "Magneto\n",
      "Maiandra GD\n",
      "Malgun Gothic\n",
      "Malgun Gothic\n",
      "Malgun Gothic\n",
      "Marlett\n",
      "Matura MT Script Capitals\n",
      "Meiryo\n",
      "Meiryo\n",
      "Microsoft Himalaya\n",
      "Microsoft JhengHei\n",
      "Microsoft JhengHei\n",
      "Microsoft JhengHei\n",
      "Microsoft New Tai Lue\n",
      "Microsoft New Tai Lue\n",
      "Microsoft PhagsPa\n",
      "Microsoft PhagsPa\n",
      "Microsoft Sans Serif\n",
      "Microsoft Tai Le\n",
      "Microsoft Tai Le\n",
      "Microsoft Uighur\n",
      "Microsoft Uighur\n",
      "Microsoft YaHei\n",
      "Microsoft YaHei\n",
      "Microsoft YaHei\n",
      "Microsoft Yi Baiti\n",
      "MingLiU-ExtB\n",
      "Mistral\n",
      "Modern No. 20\n",
      "Mongolian Baiti\n",
      "Monotype Corsiva\n",
      "Myanmar Text\n",
      "Myanmar Text\n",
      "Niagara Engraved\n",
      "Niagara Solid\n",
      "NimbusRomNo9L\n",
      "NimbusRomNo9L\n",
      "NimbusRomNo9L\n",
      "Nirmala UI\n",
      "Nirmala UI\n",
      "Nirmala UI\n",
      "OCR A Extended\n",
      "Old English Text MT\n",
      "Onyx\n",
      "Palace Script MT\n",
      "Palatino Linotype\n",
      "Palatino Linotype\n",
      "Palatino Linotype\n",
      "Palatino Linotype\n",
      "Papyrus\n",
      "Parchment\n",
      "Perpetua\n",
      "Perpetua\n",
      "Perpetua\n",
      "Perpetua\n",
      "Perpetua Titling MT\n",
      "Perpetua Titling MT\n",
      "Playbill\n",
      "Poor Richard\n",
      "Pristina\n",
      "Rage Italic\n",
      "Ravie\n",
      "Rockwell\n",
      "Rockwell\n",
      "Rockwell\n",
      "Rockwell\n",
      "Rockwell Condensed\n",
      "Rockwell Condensed\n",
      "Rockwell Extra Bold\n",
      "STCaiyun\n",
      "STFangsong\n",
      "STHupo\n",
      "STIXGeneral\n",
      "STIXGeneral\n",
      "STIXGeneral\n",
      "STIXGeneral\n",
      "STIXNonUnicode\n",
      "STIXNonUnicode\n",
      "STIXNonUnicode\n",
      "STIXNonUnicode\n",
      "STIXSizeFiveSym\n",
      "STIXSizeFourSym\n",
      "STIXSizeFourSym\n",
      "STIXSizeOneSym\n",
      "STIXSizeOneSym\n",
      "STIXSizeThreeSym\n",
      "STIXSizeThreeSym\n",
      "STIXSizeTwoSym\n",
      "STIXSizeTwoSym\n",
      "STKaiti\n",
      "STLiti\n",
      "STSong\n",
      "STXihei\n",
      "STXingkai\n",
      "STXinwei\n",
      "STZhongsong\n",
      "Script MT Bold\n",
      "Segoe MDL2 Assets\n",
      "Segoe Print\n",
      "Segoe Print\n",
      "Segoe Script\n",
      "Segoe Script\n",
      "Segoe UI\n",
      "Segoe UI\n",
      "Segoe UI\n",
      "Segoe UI\n",
      "Segoe UI\n",
      "Segoe UI\n",
      "Segoe UI\n",
      "Segoe UI\n",
      "Segoe UI\n",
      "Segoe UI\n",
      "Segoe UI\n",
      "Segoe UI\n",
      "Segoe UI Emoji\n",
      "Segoe UI Historic\n",
      "Segoe UI Symbol\n",
      "Showcard Gothic\n",
      "SimHei\n",
      "SimSun\n",
      "SimSun-ExtB\n",
      "Sitka Small\n",
      "Sitka Small\n",
      "Sitka Small\n",
      "Sitka Small\n",
      "Snap ITC\n",
      "Stencil\n",
      "Sylfaen\n",
      "Symbol\n",
      "Tahoma\n",
      "Tahoma\n",
      "Tempus Sans ITC\n",
      "Times New Roman\n",
      "Times New Roman\n",
      "Times New Roman\n",
      "Times New Roman\n",
      "Trebuchet MS\n",
      "Trebuchet MS\n",
      "Trebuchet MS\n",
      "Trebuchet MS\n",
      "Tw Cen MT\n",
      "Tw Cen MT\n",
      "Tw Cen MT\n",
      "Tw Cen MT\n",
      "Tw Cen MT Condensed\n",
      "Tw Cen MT Condensed\n",
      "Tw Cen MT Condensed Extra Bold\n",
      "UD Digi Kyokasho N-B\n",
      "UD Digi Kyokasho N-R\n",
      "Verdana\n",
      "Verdana\n",
      "Verdana\n",
      "Verdana\n",
      "Viner Hand ITC\n",
      "Vivaldi\n",
      "Vladimir Script\n",
      "Webdings\n",
      "Wide Latin\n",
      "Wingdings\n",
      "Wingdings 2\n",
      "Wingdings 3\n",
      "YouYuan\n",
      "Yu Gothic\n",
      "Yu Gothic\n",
      "Yu Gothic\n",
      "Yu Gothic\n",
      "Yu Mincho\n",
      "Yu Mincho\n",
      "Yu Mincho\n",
      "ZWAdobeF\n",
      "cmb10\n",
      "cmex10\n",
      "cmmi10\n",
      "cmr10\n",
      "cmss10\n",
      "cmsy10\n",
      "cmtt10\n"
     ]
    }
   ],
   "source": [
    "# 解决中文字符问题，打印出系统中全部的字体名称\n",
    "a = sorted([f.name for f in matplotlib.font_manager.fontManager.ttflist])\n",
    "for i in a:\n",
    "    print(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "d0e8564f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# 选择一个支持中文字体\n",
    "plt.rcParams['font.family']=['STSong']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "4b3c7f95",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYcAAAEVCAYAAAALsCk2AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjMuNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8QVMy6AAAACXBIWXMAAAsTAAALEwEAmpwYAAAibElEQVR4nO3de5xVVf3/8ddnGK4zCig6hKCAgqApl4EkQZ0x1PBCeAkV8fKVm1qiFSiCWv7QkiQlTVM0vJZjZIhmYorghSQDE80gryCSmpqpg4AIn98f6xDjzHCbmXPWPue8n4/HeXhm77PP+SznwXnP2mvvtczdERERqaogdgEiIpI8CgcREalB4SAiIjUoHEREpAaFg4iI1KBwEGlAZtZyG/tbm1nTrewvMLMxDV+ZyI4pjF2ASI65zMz6bGV/O2AucO6mDWbWEzjW3a8ERgMtzawf0Be42d3Xp7FekVopHEQamLuXAZjZMOB1d/+LmXVx91fNrAwoqXbIycCvzGxv4B3gDuAwYBXQGFA4SMYpHETqycz2dPe3qm1rClwArDEzgPZmNiS1e0OV1xnQBHgXeBxYC3wP2AX4DzDFzKa4+23pbodIVQoHkS0wswJ332hmBQCbnrv7xiqv6QfsC9xZ7fBzgYnAOqAz8A93/3uq51BVOdABGAr8xd0vMLMDgP3c/T4zOwV4JQ3NE9kqDUiL1MLMGgGjzOzvQCdgHzO7A+ha5TXNCH/lDzKzcaleAGa2K/CAu88FBgFfJ5wuqv4ZBuwF/MvdZwAdzWw+8BDwndTzywmnlkQySj0HkVq4+wbgltRf7h8BnwMz3H1ZldesNbNHUs/vADAz3P1DM2tqZucADwBvAhPNrDdwH/B+6i0OA/4I9Ej9fCmwK/AN4MfuvsbMTgNeT2tjRWqhcBDZutuAkcDfgLlmdhlQBKx298m1HWBm7YGW7n6zmZ0InOfu/5faVwa0Sb10mbu/Z2aYWSGwD/AhUAxcaGb/BL4APk1b60S2QOEgsnW/BZ4ClqTGGqoHwgaq/Tty97eBt81sX2AOYZC5Bnd/t8qPXYElwDdTnzkVeBl42d3XNUA7RHaIxhxEtiJ1j8EfgL9v4SX/AE4ws5NT4xRV/039BzgPOMPMdtrGR60BWhMCog/w/4APCOMeXbd2oEg6mNZzEGk4ZnYDcEC1zR0JX/7vAa0I4wm/rXLMjcAkYCBQ6e5zzOxc4BngX8BVwM/c/dW0N0AkRaeVRBrWB5tugquNmR3C5jGHTVcs/Rdo5e6/M7NdzOwSoBfh7mgHzklvySI1qecgIiI1aMxBRERqUDiIiEgNOTHm0KZNG+/YsWOdjl29ejVFRUUNW1DCqc35QW3OD/Vp8+LFiz9w991q25cT4dCxY0cWLVpUp2Pnz59PWVlZwxaUcGpzflCb80N92mxmK7a0T6eVRESkBoWDiIjUoHAQEZEaFA4iIlKDwkFERGpQOIiISA0KBxERqSEn7nOIxh0+/xw++2zzY82a2p9X/3ntWmjVCjp0gD33DP/t0AGaN4/dKhGRPA+Hl15ij1mz4Lnntv9LvfrPdZm4sLAQmjWDysqa+3bddXNQVA+ODh1gjz2gsZYUFpH0yu9wmD+fLtdfv/nnZs2gRYvwaN78y89btaq5vbbXbWtf8+abv9zXrYO334aVK2s+VqyAp5+G//73yzWbQdu2tQfHpkfbtlCgM4YiUnf5HQ5nn82CPfek/xFHhGDI9Bdq06aw997hsSWVlbWHx1tvwUsvwR//GHowVRUWQvv2tQdHhw40Wr06ve0SkayX2HBILYJyAvAusIu7P9TgH1JUxPqWLcNf9ElVXAzdu4dHbdzho49qBsem588+CzNnwvr1/ztkQEEB9O0LAweGx9e/HoJKRCQlseEAfAt4z90XmNkoM+vu7ktjF5U4ZrDLLuHRo0ftr9m4Ef797/+FxorZs+n4+utw9dVw1VXhVNehh24OiwMP1GkpkTyX2JXgzOw6YJq7rzCzbwJ7ufstVfaPBkYDlJSUlFZUVNTpcyorKykuLm6IkrPGpjY3Wr2aVkuW0HrxYlovXkzRijBB4+ctW/Lf3r35qLSUj0pLWdu2beSK6y+ff8/5RG3eMeXl5YvdvU+tO909kQ9gGtAx9fybwOgtvba0tNTrat68eXU+Nlttsc2rVrnfdZf7GWe4f+Ur7uGklfvee7uPGeP+u9+5f/hhRmttKPo95we1eccAi3wL36tJPq00H+gMLAfaA0/HLCYvtGsHp58eHu6wdCk8/nh4/OY3cMst4TRWaenmU1D9+4fBfBHJKUk+sTwb2N3MDgL+5RpvyCwz2G8/GDsWHnwQPvwQFiyAH/0ojFFMnRrCoXVrOOIImDIFFi+GDRtiVy4iDSCxPYdUl6duAwnS8Bo3hoMPDo/LLw+X2D711OaexYQJ4XW77AKHH765Z9G5cwgaEckqiQ0HSbjiYjj66PAAePddeOKJEBSPPQa/+13Y3rHj5qA4/HDYrdblakUkYZJ8WkmySdu2MGwYzJgRLpldtgx+8Qvo2TPcZ3HKKVBSEsLk4Yd1+kkk4RQO0vDMYN994TvfgVmz4IMPYOFCmDQJXngBjj0WunSBa64JYxkikjgKB0m/wkI46CCYPDnMGXXffWEqj4suCtN8/N//waJFsasUkSoUDpJZjRvD0KHw5JPw4otw1lnhtFPfviFA7rwzTGcuIlEpHCSeAw6AX/4SVq2C66+HTz4JYdG+PVx8MSxfHrtCkbylcJD4WraE88+Hf/wD5s4N8zxNnRougz3uOJgzJ8wPJSIZo3CQ5DALl7v+/veh1zBxYliIadCgMMB97bVhBloRSTuFgyRThw5w5ZVh2vHf/CZcBvuDH4SV8EaOhL/9LXaFIjlN4SDJ1qQJnHoqPPNMCIThw+Hee6F373C39q9/HVbUE5EGpXCQ7NGzJ0yfHgawr7su3D8xfHjoZUyaFG6+E5EGoXCQ7NOqFVx4YbgL+9FHw0p2V18NnTrB8ceHKTwSuk6JSLZQOEj2KiiAI4+E2bPhjTfCTXXPPBNmie3ePVwe+/HHsasUyUoKB8kNe+0FP/lJGMC+667Qu7jggrBGxZgxtNA9EyI7ROEguaVZs7BY0cKFYUqOk0+Gu+6i74gRcM45YS1tEdkmhYPkrtLSMEvsypWsGjIEbrstTPg3daqucBLZBoWD5L42bXjt/PPhpZdgwAAYPx723x8eeEAD1yJboHCQ/NG9e1hLYs4caNo0XNl0+OFhGnER+RKFg+Sfo46CJUvgxhtDb6J3bxg1Ct57L3ZlIomhcJD8VFgI550Hr74a7pm4444wHjFliqYMF0HhIPmudeswod/LL0N5OUyYAPvtF9bA1niE5LHEh4OZdTCzA2LXITmua9dwM91jj0FREXz723DYYfD887ErE4kiEeFgZoeZ2WVm9mszOyS1bbCZ3QxMAt6NW6HkjYEDwwR/N98MS5dCnz5w9tnwzjuxKxPJqESEA/CZu08GzgPOT2371N3PST3ej1ib5JvCQhgzBl57LUwTfs89YTziqqtgzZrY1YlkhHkGz6uaWU9gWvXt7l6W2j8A6OruM8xsFNAXaAeMcvcv/elmZqOB0QAlJSWlFRUVdaqpsrKS4uLiOh2brdTmHdN81So633ILuz39NGtLSnh99GjeLy8PixMlmH7P+aE+bS4vL1/s7n1q3enuiXgAbYDhtWzvA0zZ2rGlpaVeV/PmzavzsdlKba6jJ55w79HDHdz793d/7rn6v2ca6fecH+rTZmCRb+F7NRGnlcxsN6C3u99jZq2r7V4OVGa+KpFqysth8WK49dZwCezXvgZnnhnWlxDJMdHDwcyaAncAR5rZVOBWMysws2vM7BjgaODamDWK/E+jRmGZ0ldfhYsvhoqKcKXT5Mnw2WexqxNpMNHDwd3Xufsx7j4u9TjJ3Te6+3h3f9jd73L31bHrFPmSnXcOCwwtXQpHHw2XXw777hvWu9b9EZIDooeDSFbr3BlmzoQnn4TddoPTTgtrWy9cGLsykXpROIg0hEMPDetH3H47LF8eli497bSw+JBIFlI4iDSUggI46yx45RWYNAnuvz+carrpJp1qkqyjcBBpaDvtBFdeCcuWhSk4vvMdGDIEPvggdmUi203hIJIuHTuG9SOuuy6sIdGjBzzxROyqRLaLwkEknQoKwpTgCxeGHsXAgXDJJbB+fezKRLZK4SCSCb16hRvoRowIl8D27w+vvx67KpEtUjiIZEpRUbi7eubMcBNdz55w992xqxKplcJBJNNOOiksU9qrF5xxBgwfDp98ErsqkS9ROIjEsOeeMG8eXHEF3Htv6EXoxjlJEIWDSCyNGoVpN556CjZuhAED4Mc/hg0bYlcmonAQia5/f3jhhXC6adKkcEWTZnqVyBQOIknQqlU4vXT77fDXv8KBB8IDD8SuSvKYwkEkKczC9BvPPw+dOsHxx8O552oqcIlC4SCSNF27wp//DOPGwc03Q9++8OKLsauSPKNwEEmiJk3gmmvg0Ufhww/DqnM33KAJ/CRjFA4iSXbkkaHXMHAgjB0LgwfD++/HrkrygMJBJOl23x0eegiuvx4eeyxM4Pf447GrkhyncBDJBmZw/vnw3HPhyqYjjoCLLoLPP49dmeQohYNINjnwwLDi3JgxYUyif/8wT5NIA1M4iGSbFi3CVUz33x9mdu3VC+68U4PV0qASFQ5m1szMvhG7DpGscMIJYbC6T59wf8SwYfDxx7GrkhyRiHAws05mdgcwDVib2jbAzA41sxPNrFXE8kSSq317mDsXrroqTAXesyc8+2zsqiQHJCIcgFbAhe5+jrsvMLOmwCB3fwqYA/wganUiSdaoEUycCM88EwauDzkEJk/WBH5SL+YZPE9pZj0JvYPqLgVOBzoBVwIfA0Pc/YrUcbPc/fhq7zUaGA1QUlJSWlFRUaeaKisrKS4urtOx2Uptzl2NKivpOm0aJXPn8n7PniybPJkNedDuTfLl91xVfdpcXl6+2N371LrT3RPzAIqAB4GewI+qbJ+1teNKS0u9rubNm1fnY7OV2pzjNm50v+0239CokfsBB7ivXBm7oozJq99zSn3aDCzyLXyvJuW0EgDuvhp4E1hKCArMrAXw95h1iWQVMxgxgpemTIEVK+Cgg8LKcyI7IBHhYGYXmNmpZnYCcJO7rwMeMrNDgYHAz+JWKJJ9PiotDeMQBQVhHOLRR2OXJFmkMHYBAO7+81q2PRWjFpGccsABYfnRY44Jj1tugREjYlclWSARPQcRSaM99ghLkQ4cCCNHwmWX6YY52SaFg0g+2HnnMHnfiBFw5ZVw5pmal0m2KhGnlUQkAxo3hltvhY4dQ+/h7bfh978PE/mJVKOeg0g+MYNLL4W77gqD1QMGwFtvxa5KEkjhIJKPTj8d5swJvYd+/eBvf4tdkSSMwkEkXx1+OCxYAIWF4VLXRx6JXZEkiMJBJJ/tv3+41LVrVzjuOJg+PXZFkhAKB5F8164dPPlkWF1uzBiYNEmXuorCQUSAnXYKl7qOGgU//jEMHw7r1sWuSiLSpawiEhQWhjuoO3UKU4CvWgWzZkHr1rErkwjUcxCRzczgkkvg17+GP/85rFG9fHnsqiQChYOI1DRsGPzpT/DOO+FS18WLY1ckGaZwEJHalZWFS12bNYNDD4WHH45dkWSQwkFEtmy//cKlrt26weDBcPPNsSuSDFE4iMjWtW0bLnUdNAjOPRcmTICNG2NXJWmmcBCRbSsuhgcegHPOgSlT4LTTYO3a2FVJGulSVhHZPoWFcNNN4VLXiy8O8zLNng277BK7MkkD9RxEZPuZwUUXwb33wnPPwcEHwxtvxK5K0kDhICI77pRT4LHH4N//hq9/Hf7619gVSQNTOIhI3Rx6aLhRrkULOOwwePDB2BVJA1I4iEjddesWLnXdf384/ni48cbYFUkDSXw4mFkHMzsgdh0isgUlJTB/PhxzDHz3uzB+vGZ1zQGJuFrJzGYCq1M/tnL3IWY2GDg6te2yOJWJyHYpKgqT9I0dC1Onhstcr78+DGBLVkpEOABnuvtnZtYc+GZq26fufk7MokRkBzRqBL/4BTRvDj/7GTRpEoJCAZGVzDPY/TOznsC06tvdvSy1/0RgjruvNrNRQF+gHTDK3d+p9l6jgdEAJSUlpRUVFXWqqbKykuLi4jodm63U5vwQrc3u7HPDDbSfNYsVw4bx5siRGQsI/Z53THl5+WJ371PrTndPzAM4q5ZtfYApWzuutLTU62revHl1PjZbqc35IWqbN250HzPGHdx/+MOMfax+zzsGWORb+F5NymklzKwd8FYtu5YDlZmtRkTqxSzcTf3553DFFeEU08SJsauSHZCYcAAOAh4EMLMCYAowH9gVuDZeWSJSJwUFcOutsH59WJe6SRMYNy52VbKdEhMO7j6ryvONwPiI5YhIQ2jUCG6/PfQgxo8PATF2bOyqZDtsMxzMzIDO7v56BuoRkVxTWAj33BN6EBdcEALiHF2ImHTbvAkuNWjxbTMbYGat0l+SiOScxo2hogKOPTasCTFjRuyKZBu2GQ6pnsNN7v4McIaZXZX+skQk5zRpAjNnwlFHwciRcPfdsSuSrdjensMUM/stsAaYnPaqRCQ3NWsW7qQuL4ezzoL77otdkWzB9o45vOjuv8xAPSKS65o3DzO4DhoUVpRr3BhOOCF2VVLN9vYctKq4iDScoiJ4+GH42tfg5JPhoYdiVyTVbNesrKmAEBFpODvtBI88Ar16wUknwZw5sSuSKhI/ZbeI5LCWLeHRR8N6EEOGwOOPx65IUhQOIhJX69bwpz9B164weDA8+WTsigSFg4gkQZs2odfQsWNYNGjBgtgV5T2Fg4gkw+67w9y50K5duJLpuediV5TXFA4ikhxf+Qo88QTsthsceSQ8/3zsivKWwkFEkqV9+xAQrVrBEUfAiy/GrigvKRxEJHn22isERIsW8I1vwMsvx64o7ygcRCSZOncOAdG4cQiIf/4zdkV5ReEgIsnVpUsYpHaHww+H116LXVHeUDiISLJ17x4CYt26EBDLl8euKC8oHEQk+b761XAfRGVlCIiVK2NXlPMUDiKSHXr2DHdSf/hhCIh//St2RTlN4SAi2aNPnzAX07vvhkHq996LXVHOUjiISHbp1w/++Ed4660QEO+/H7uinJTxcLDge2Z2UZVtA8zsUDM7cdM61WZ2nJn1N7OTMl2jiCTcIYfAH/4Ar78ebpT7z39iV5RzYvQc9gGWbfpsM2sKDHL3p4A5wA/MrCfQ0t0XAJ+Y2Tcj1CkiSVZeDrNnw7JlYaqN//43dkU5xdK1jk/qC35a9e3uXmZmZUA/d7/azHoAQ9z9itRxs4D5wAvu/qSZdQPOdPdLqr3/aGA0QElJSWlFRUWd6qysrKS4uLhOx2YrtTk/5Eubd1m4kK9edhmfdu3Ksz/8Ic123z12SRlVn99zeXn5YnfvU9u+ba4hXVfu/gJQth0vtdRja9tqJJi7TwemA/Tp08fLyrbno2qaP38+dT02W6nN+SFv2lxWBt270/KkkzhoyhRaL1wY7qrOE+n6PSdhQHopUARgZi2AvxN6Dp1T+zsAT0WpTESyw7e+BbfdRuvnn4fvfjfcUS31EmNAuhDoDXQ1syJ3Xwc8ZGaHAgOBn6V6HR+bWT+gyN21uKyIbN2ZZ7LitNNg+nS47rrY1WS9tJ1W2hJ3/wK4ttq2Gj0Dd78/Y0WJSE548+yz2WvdOhg3DvbeO/QopE6ScFpJRKRhFBTAXXdB374wbJgWC6oHhYOI5JbmzcMlrm3awHHHwapVsSvKSgoHEck9bdvCQw/BJ5+EgKisjF1R1lE4iEhuOvBAuO8+WLIEhg+HDRtiV5RVFA4ikruOPhqmTQunmSZMiF1NVsn41UoiIhl1/vlhidGpU6FrVxg1KnZFWUHhICK5b9q0MEnfeeeFtam/8Y3YFSWeTiuJSO4rLAzjD926wYknwtKlsStKPIWDiOSHnXcO03w3bQrHHgsffBC7okRTOIhI/thrL3jwwbDE6PHHw7p1sStKLIWDiOSXgw6CO++EZ56BkSM1Sd8WaEBaRPLP0KHw6qtw6aXhCqbLLotdUeIoHEQkP02cCK+8ApdfDl26wCmnxK4oUXRaSUTyk1mY3vuQQ+Css+DZZ2NXlCgKBxHJX02bwu9/D+3bh+m933wzdkWJoXAQkfzWpg08/DCsXx8ucf3449gVJYLCQURk333h/vvDGMTQofDFF7Erik7hICICcPjhcPPN8Kc/wdixeX+Jq65WEhHZZMSI0Hv46U9Db+KCC2JXFI3CQUSkqp/8JNwD8f3vh3Wojz02dkVR6LSSiEhVBQVw993Qs2e492HJktgVRZHocLDg6Nh1iEieKSoKy4y2ahV6Du+8E7uijMt4OKS+8L9nZhdV2Xa6mV1hZhVmVpLaNh74JXBIpmsUEaFduzCL60cfweDB8NlnsSvKqBg9h32AZZs+28yaA8+7+w+Be4ETU69b5O7nuPslEWoUEQmnlu69FxYvhtNPh40bY1eUMeZpulzLzHoC06pvd/cyMysD+rn71dWOGQ/8wd2XmtkUoB3wBTDC3TdWe+1oYDRASUlJaUVFRZ3qrKyspLi4uE7HZiu1OT+ozQ2n/cyZ7HPTTawYNow3E7bMaH3aXF5evtjd+9S6090z/gDKgAnVth0IlNfy2nHAoK29X2lpqdfVvHnz6nxstlKb84Pa3IA2bnQfM8Yd3GfMSM9n1FF92kw4Q1Pr92oiBqTN7KuEXsw8M2tdbfdyoDLzVYmIpJjBDTfAEUfA6NEwb17sitIuxoB0IdAb6GpmRWbWBbgWON3MrgPGm1knM7vSzAYChe7+dKbrFBH5ksaN4be/DdN7n3hiuFkuh2X8Jjh3/4IQBpu8ChxZy0svzUxFIiLbqVWrMEnfQQfBMcfAwoWw666xq0qLRJxWEhHJGp06wQMPwMqVcMIJ8PnnsStKC4WDiMiOOvhgmDEDnnoqjEHk4CR9mltJRKQuhg0LczD96EdhHeqJE2NX1KAUDiIidXX55WFg+tJLobQUjjoqdkUNRqeVRETqygxuvRX23x+GD4dVq2JX1GAUDiIi9dGiBcycCWvWwKmn5swqcgoHEZH66tYNbrkFnn46nGrKAQoHEZGGcNppMGpUWCzokUdiV1NvCgcRkYby85/DgQeGGVzffjt2NfWicBARaSjNm4cpNtatC6vIrV8fu6I6UziIiDSkffeF6dNhwQK47LLY1dSZwkFEpKGdeiqMGQNTpoS5mLKQwkFEJB2mTYMePeCMM+Ctt2JXs8MUDiIi6dCsWbj/Yf36rBx/UDiIiKRLly7hDupnn826uZcUDiIi6XTyyXDuuTB1Kjz0UOxqtpvCQUQk3a69Fnr1gjPPhBUrYlezXRQOIiLptmn8YcOG0JPIggWCFA4iIpmw997wq1/BX/4Cl1wSu5ptUjiIiGTKSSfBd78bTjPNnh27mq1SOIiIZNLUqWFhoLPOguXLY1ezRYkKBzPrYGYHxK5DRCRtmjYN8y+5J3r8IePhYMH3zOyiKtsGm9nNwCTg3dS248ysv5mdlOkaRUTSqnNnmDEDnnsOLr44djW1itFz2AdYVu2zP3X3c1KP982sJ9DS3RcAn5jZNyPUKSKSPiecAGPHhmk2Zs2KXU0N5u7peePwBT+t+nZ3LzOzMqCfu1+deu0ooC/QDhgFDAVecPcnzawbcKa7f2l438xGA6MBSkpKSisqKupUZ2VlJcXFxXU6NlupzflBbU4+W7+eXmPH0mLlShZNn87adu12+D3q0+by8vLF7t6n1p3unvEHUAZMqGV7H2AKcCFQltrWDfjx1t6vtLTU62revHl1PjZbqc35QW3OEm+84d6qlXufPu5r1+7w4fVpM7DIt/C9mqgBaWA5UAnMBzqntnUAnopUj4hIenXqBLffDosWwfjxsav5nxgD0oVAb6CrmRWZWYGZXWNmxwBHA9e6+wvAx2bWDyhy9zmZrlNEJGOGDIHvfQ9uuAHuvz92NQAUZvoD3f0L4Npqm2vEpbsn4/+QiEgmXH11WD3u7LOhZ89wR3VESTutJCKSn5o0Cfc/FBTA0KGwdm3UchQOIiJJsddecOed8PzzMG5c1FIUDiIiSTJ4MPzgB3DjjaEnEYnCQUQkaX7yE+jXD0aOhNdei1KCwkFEJGkaN4b77gv//fa3o4w/KBxERJJozz3D+MMLL8D3v5/xj1c4iIgk1bHHhhvjfvnL0JPIIIWDiEiSXXUVHHxwGH945ZWMfazCQUQkyRo3hoqKsA7E0KGwZk1GPlbhICKSdB06wN13w5IlcOGFGflIhYOISDYYNAgmTIDp0+E3v0n7xykcRESyxeTJMGAAjBkD//xnWj9K4SAiki0KC8P4Q7Nm4f6Hzz5L20cpHEREsskee8A998BLL8EFF6TtYxQOIiLZ5qijYOJEuO02Sh57LC0fkfH1HEREpAFccQW8/TafdeiQlrdXz0FEJBsVFsKdd/Jpt25peXuFg4iI1KBwEBGRGhQOIiJSg8JBRERqSHQ4WHB07DpERPJNxi9lNTMDLgQau/tPzawjcAPwYeol77j7JWY2Htgb+Aj4Y6brFBHJZzHuc9gHWAb0SP28Cjje3b8ws4OAD1LbF7n7NRHqExHJe+bu6Xljs57AtOrb3b3MzMqAfu5+dbVjznT3O1PPpwDtgC+AEe6+sdprRwOjAUpKSkorKirqVGdlZSXFxcV1OjZbqc35QW3OD/Vpc3l5+WJ371PbvrSFw9bUFg5mVgQMcvffVXvtOOBld39kK+/3PrCijuW0YXNvJV+ozflBbc4P9WnzXu6+W207kjR9xkDg0Vq2Lwcqt3bglhq3Pcxs0ZaSM1epzflBbc4P6WpzjAHpQqA30NXMitx9dWpXE3f/NPWaTsAIYD5Q6O5PZ7pOEZF8lvFwcPcvgGtr2T6zyvM3gUszWZeIiGyW6PscMmR67AIiUJvzg9qcH9LS5igD0iIikmzqOYiISA0KB5EcZWbNzezQ2HVIdsrbcEjN23SimfU3s+Ni15MJZtbSzC41s2vN7MrY9WSSmX3VzK7e9itzg5l1BS4CFsauJRPMrNDMvm9mh5jZ2NQ0PTnLzHqb2ZzU813NbIiZlZnZwQ31GXkbDsC3gPfcfQHQ1sy6xy4oA7oAV7n794H9Uzce5jwzaw/sD7SKXEpGmFlj4GrC7/rz2PVkSA/g89Rl7w60jlxP2phZc+CTKpvGAQ+7+3xgSOp2gXrL53A4DFiZer4SyPnut7svcnc3s0bAB1XuMclZZtaKEAx/iVxKJh0DzAV6mFm+zE+2BOiSOgvwD3f/T+yC0sXd17j7a1U27evu61PPNxImLK23fA4HSz02yafLtk4FJsQuIkOGAt2Bs4EDzGxQ5HoyoSvhC3IxsM7MemzrgBywMyEQ5wInmtlXIteTSdW/xxvkuyxJ02dk2nygM2F6jvZAXtyFnfrLara7f2pmrd39o9g1pZO7TwdITQ2/+9bm6Mohy4HdU88bAWvilZIxhxFOK31mZg8DXwNmR64pU5aZWXN3X0P4g/eNhnjTfO45zAZ2T00T/i93Xxq7oHQzs4uA44EfmtldwIGRS5L0mAXsa2aHAKvc/ZXYBWXAPKB3qs2dqX2etpyRGiPd08w6A9cAx5pZf2BWahaK+n+GboITEZHq8rnnICIiW6BwEBGRGhQOIiJSg8JBRERqUDiIiEgNCgcREalB4SAiIjUoHEREpAaFg0iamFkjMzsjdh0idaFwEEmfXsBoMzsrdiEiO0rhIJIm7r4IeM3d74hdi8iOUjiIiEgNCgeR9NrFzI7K9WUrJfdoVlYREalBPQcREalB4SAiIjUoHEREpAaFg4iI1KBwEBGRGhQOIiJSg8JBRERqUDiIiEgNCgcREanh/wPE4mkCoEltagAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title(\"v-t图像\") # 有中文\n",
    "plt.xlabel(\"t\")\n",
    "plt.ylabel(\"v\")\n",
    "\n",
    "x = np.arange(0, 11)\n",
    "y = -2*x**2 + 3 * x + 3\n",
    "\n",
    "plt.grid(True)\n",
    "plt.plot(x, y, \"r\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "4ba2f982",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "t = np.arange(0.0, 2.0, 0.01)\n",
    "s = 1 + np.sin(2*np.pi*t)\n",
    "plt.plot(t, s)\n",
    "\n",
    "plt.title('About as simple as it gets, folks')\n",
    "plt.xlabel('time (s)')\n",
    "plt.ylabel('voltage (mV)')\n",
    "\n",
    "plt.grid(True) # 显示网格\n",
    "plt.savefig(\"test.png\") # 将图标保存成图片\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1bc0ce3b",
   "metadata": {},
   "source": [
    "## Test\n",
    "要求在网格中绘制一个余弦曲线，范围是 [-3pi, 3pi], 整个函数图像向下移动了1.5单位， 横坐标为t，纵坐标为y，用红色曲线绘制并保存文件为\"cos.png\" "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "270d5ef0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "t = np.arange(-3.0, 3.0, 0.01)\n",
    "s = np.cos(np.pi*t) - 1.5\n",
    "plt.plot(t, s, \"r\")\n",
    "\n",
    "plt.title('About as simple as it gets, folks')\n",
    "plt.xlabel(\"t\")\n",
    "plt.ylabel('y')\n",
    "\n",
    "plt.grid(True) # 显示网格\n",
    "plt.savefig(\"cos.png\") # 将图标保存成图片\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "be61ca1e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "labels = 'Frogs', 'Hogs', 'Dogs', 'Logs'\n",
    "sizes = [15, 30, 45, 10]\n",
    "explode = (0, 0.1, 0, 0)  # only \"explode\" the 2nd slice (i.e. 'Hogs')\n",
    "\n",
    "fig1, ax1 = plt.subplots()\n",
    "ax1.pie(sizes, explode=explode, labels=labels, autopct='%1.1f%%', shadow=True, startangle=90)\n",
    "ax1.axis('equal')  # Equal aspect ratio ensures that pie is drawn as a circle.\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "b8f1c36a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(0, 1, 500)\n",
    "y = np.sin(4 * np.pi * x) * np.exp(-5 * x)\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.fill(x, y, zorder=10)\n",
    "ax.grid(True, zorder=5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "29783a04",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 计算正弦和余弦曲线上的点的 x 和 y 坐标 \n",
    "x = np.arange(0,  3  * np.pi,  0.1) \n",
    "y_sin = np.sin(x) \n",
    "y_cos = np.cos(x)  \n",
    "# 建立 subplot 网格，高为 2，宽为 1  \n",
    "# 激活第一个 subplot\n",
    "plt.subplot(2,  1,  1)  \n",
    "# 绘制第一个图像 \n",
    "plt.plot(x, y_sin) \n",
    "plt.title('Sine')  \n",
    "# 将第二个 subplot 激活，并绘制第二个图像\n",
    "plt.subplot(2,  1,  2) \n",
    "plt.plot(x, y_cos) \n",
    "plt.title('Cosine')  \n",
    "# 展示图像\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "2f1c9d71",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Y, X = np.mgrid[-3:3:100j, -3:3:100j]\n",
    "U = -1 - X**2 + Y\n",
    "V = 1 + X - Y**2\n",
    "speed = np.sqrt(U*U + V*V)\n",
    "\n",
    "fig0, ax0 = plt.subplots()\n",
    "strm = ax0.streamplot(X, Y, U, V, color=U, linewidth=2, cmap=plt.cm.autumn)\n",
    "fig0.colorbar(strm.lines)\n",
    "\n",
    "fig1, (ax1, ax2) = plt.subplots(ncols=2)\n",
    "ax1.streamplot(X, Y, U, V, density=[0.5, 1])\n",
    "\n",
    "lw = 5*speed / speed.max()\n",
    "ax2.streamplot(X, Y, U, V, density=0.6, color='k', linewidth=lw)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "474e5c75",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
